Strongly simply connected derived tubular algebras (Q2782424)

The main aim of the paper under review is to characterize the derived tubular algebras which are strongly simply connected. Recall that a finite dimensional algebra \(A\) over an algebraically closed field is `derived tubular' if there exists a tubular algebra \(B\) and an equivalence of triangulated categories between the derived categories \(D^b(\text{mod }A)\cong D^b(\text{mod }B)\). The main result states that a derived tubular algebra is strongly simply connected if and only if it contains no full convex subcategory which is hereditary of type \(\widetilde\mathbb{A}_m\). Some further characterizations of strong simply connectedness for tubular and derived tubular algebras are also presented.NEWLINENEWLINEFor the entire collection see [Zbl 0974.00038].